GCF of 28/493, 8946/3451
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 28/493, 8946/3451 i.e 14/3451 easily. The following is the detailed procedure to determine the greatest common factor of fractions 28/493, 8946/3451.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 28/493,8946/3451?
Given fractions are 28/493,8946/3451
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 28/493,8946/3451, numerators are 28,8946
Denominators are 493,3451
The GCF of 28,8946 is 14 .
LCM of 493,3451 is 3451.
The greatest common factor of 28/493,8946/3451 = [GCF of 28,8946]/[LCM of 493,3451]= 14/3451
Therefore, the GCF of 28/493,8946/3451 is 14/3451.
To find the highest common factor of 28,8946, we have to find the factors of both numbers and list the highest common factor.
The factors of 28 are 1, 2, 4, 7, 14, 28
The factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946
The HCF of 28,8946 is 14.
Lets's calculate GCF of 28,8946
| 2 | 28, 8946 |
| 7 | 14, 4473 |
| 2, 639 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 28,8946 By Matching Biggest Common Factor Method
Now, list down the factors of 28
:1,2,4,7,14,28
Now, list down the factors of 8946
:1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946
Greatest Common Factor
We found the factors 28,8946 . The biggest common factor number is the GCF number.
So the greatest common factor 28,8946 is 14.
Lets's calculate LCM of 493,3451
| 17 | 493, 3451 |
| 29 | 29, 203 |
| 1, 7 |
∴ So the LCM of the given numbers is 17 x 29 x 1 x 7 = 3451
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3451
Therefore, the GCF of Fractions 28/493,8946/3451 is 14/3451
Least Common Multiple of 493,3451 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 493,3451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,3451) = 493
common factors(in case of two or more numbers have common factors) = 1
GCF(493,3451) x common factors =493 x 1 = 493
LCM(493,3451) = ( 493 × 3451 ) / 493
LCM(493,3451) = 1701343 / 493
LCM(493,3451) = 3451
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FAQs on GCF of Fractions of 28/493, 8946/3451
1. What is the HCF of 28,8946?
The HCF of 28,8946 is 14
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 28/493, 8946/3451?
Answer: GCF of Numerators as per given numbers 28/493, 8946/3451 is
GCF of Numerators i.e. for 28,8946 is 14
LCM of denominators i.e. for 493,3451 is 3451.
Thus, GCF of Fractions is 14/3451.Finally, GCF of Fractions for 28/493, 8946/3451 is 14/3451.